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A187015
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The number of different classes of 2-dimensional convex lattice polytopes having volume n/2 up to unimodular equivalence.
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4
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1, 2, 3, 7, 6, 13, 13, 27, 26, 44, 43, 83, 81, 122, 136, 208, 215, 317, 341, 490, 542, 710, 778, 1073, 1186, 1519, 1708, 2178, 2405, 3042, 3408, 4247, 4785, 5782, 6438, 7870, 8833, 10560, 11857, 14131, 15733, 18636, 20773, 24381, 27353, 31764, 35284, 41081, 45791, 52762
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OFFSET
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1,2
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COMMENTS
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Lattice polytopes up to the equivalence relation used here are also called toric diagrams, see references below. - Andrey Zabolotskiy, May 10 2019
Liu & Zong give a(7) = 11, and others use their list, but their list lacks polygons No. 3 and 4 from Balletti's file 2-polytopes/v7.txt. - Andrey Zabolotskiy, Dec 28 2021
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LINKS
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Gabriele Balletti, Dataset of "small" lattice polytopes. Beware that the vertices are not always listed in sorted order around the polygon boundary (clockwise or counterclockwise).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Name edited, a(7) corrected, a(9)-a(50) added using Balletti's data by Andrey Zabolotskiy, Dec 28 2021
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STATUS
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approved
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